14 questions of Trigonometry

1.) The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2&#61552; radians = 1 revolution.
2.) Convert -60° to radians. Express the answer as a multiple of &#960;
3.) Draw the following angle in standard the position:
4.) In which quadrant will the angle 100° lie in the standard position?
5.) In which quadrant will the angle -350° lie in the standard position?
6.) Convert the following angle to degrees:
7.) Find a co-terminal angle for the following angle:
-268°
8.) Find the value of (sin 38°) (csc 38°)
9.) Use an identity to find the value of:
sin²50° + cos² 50°
10.) Find the radian measure of the central angle of a circle of radius r = 4 inches that intercepts an arc of length s = 20 inches.
11.) Classify the angle 101° as acute, right, obtuse, or straight.
12.) Find the length of the arc on a circle of radius r = 5 yards intercepted by a central angle &#1139; = 70°
13.) Classify the angle as acute, right, obtuse, or straight.
14.) Classify the angle as acute, right, obtuse, or straight.
(Please see attached file)

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Solution Preview

The solution file is attached.

1.) The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2 radians = 1 revolution.
2.) Convert -60° to radians. Express the answer as a multiple of π
3.) Draw the following angle in standard the position:

4.) In which quadrant will the angle 100° lie in the standard position?
5.) In which quadrant will the angle -350° lie ...

Solution Summary

The expert calculates the angular speed of the engine in radians per second. The expert finds the co-terminal angle for the angles. A complete, neat and step-by-step solutions is provided in the attached file.